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Structured Parameter

The main idea of HyperParameter is to organize the parameters and parameter accesses into a tree structure, by which we can refer to each parameter with a unique name and identify each access to the parameters. Then we can modify each parameter and control the access to the parameters.

Nested Parameters and Parameter Path

The parameters are stored in a nested dict, a very common solution for python programs, and can be easily serialized into JSON or YAML format. For example:

cfg = {
    "param1": 1, # unique name: param1
    "obj2": {
        "param3": "value4", # unique name: obj2.param3
        "param5": 6,        # unique name: obj2.param5
    },
}

We can directly refer to the value value4 by cfg["obj2"]["param3"]. But we also need to check whether the parameter is missing from the cfg, and handle the default value.

HyperParameter offers a tiny DSL to access the parameters. The DSL syntax is very similar to jsonpath, but compatible with python syntax so that the interpreter and code editor can check for syntax errors. (I found this feature saves me a lot of time.). The first thing to use the DSL is converting the cfg into HyperParameter, and then we can use the DSL:

# convert a nested dict into HyperParameter
hp = HyperParameter(**cfg) 

# or create the HyperParameter object from scratch
hp = HyperParameter(param1=1, obj2={"param3": "value4"})

# the DSL for access the parameter
param = hp().obj2.param3(default="undefined")

hp().obj2.param3(default="undefined") is the inline DSL for reading parameter from HyperParameter object. It looks like a jsonpath expression but has support for default values.

Best Practice for Structure Parameters with Parameter Path

A Quick Example of Recommendation Model

Suppose we are building a wide&deep model with keras.

class WideAndDeepModel(keras.Model):
    def __init__(self, units=30, activation="relu", **kwargs):
        super().__init__(**kwargs)
        self.hidden1 = keras.layers.Dense(units, activation=activation)
        self.hidden2 = keras.layers.Dense(units, activation=activation)
        self.main_output = keras.layers.Dense(1)
        self.aux_output = keras.layers.Dense(1)

    def call(self, inputs):
        input_A , input_B = inputs
        hidden1 = self.hidden1(input_B)
        hidden2 = self.hidden2(hidden1)
        concat = keras.layers.concatenate([input_A, hidden2])
        main_output = self.main_output()(concat)
        aux_output = self.aux_output()(hidden2)
        return main_outputi, aux_output

The model is straightforward and does not support many parameters. If we want to add batch normalization, dropout, and leaky-relu tricks to the model, we have to modify the code as follows:

class WideAndDeepModel(keras.Model):
    def __init__(self, 
        units=[30, 30, 30],
        activation="relu",
        use_bn=False,
        bn_momentum=0.99,
        bn_epsilon=0.001,
        bn_center=True,
        bn_scale=True,
        bn_beta_initializer="zeros",
        bn_gamma_initializer="ones",
        bn_moving_mean_initializer="zeros",
        bn_moving_variance_initializer="ones",
        use_dropout=False,
        ...):

        ...
        self.bn1 = keras.layers.BatchNormalization(
            momentum=bn_momentum,
            epsilon=bn_epsilon,
            center=bn_center,
            scale=bn_scale,
            beta_initializer=bn_beta_initializer,
            gamma_initializer=bn_gamma_initializer,
            ...,
        )

The code becomes too complicated, having dozens of parameters to handle, most of which are not used.

A Fast Trial of Structured Parameter

We can simplify the code with auto_param, which automatically converts the parameters into a parameter tree. And then, we can specify the parameters by name:

# add parameter support for custom functions with a decorator
@auto_param("myns.rec.rank.dropout")
class dropout:
    def __init__(self, ratio=0.5):
        ...

# add parameter support for library functions 
wrapped_bn = auto_param("myns.rec.rank.bn")(keras.layers.BatchNormalization)

myns.rec.rank is the namespace for my project, and myns.rec.rank.dropout refers to the function defined in our code. We can refer to the keyword arguments (e.g. ratio=0.5) with the path hp().myns.rec.rank.dropout.

After making the building block configurable, we can simplify the model:

class WideAndDeepModel(keras.Model):
    def __init__(self, 
        units=[30, 30, 30],
        activation="relu",
        ...):

        ...
        self.bn1 = wrapped_bn()
        self.dropout1 = dropout()
And we can change the parameters of the BN layers with param_scope:

with param_scope(**{
    "myns.rec.rank.dropout.ratio": 0.6,
    "myns.rec.rank.bn.center": False,
    ...
}):
    model = WideAndDeepModel()

Or read the parameters from a JSON file:

with open("model.cfg.json") as f:
    cfg = json.load(f)
with param_scope(**cfg):
    model = WideAndDeepModel() 

Fine-grained Control of Structured Parameters

In the last section, we have introduced how to structure the parameters with auto_param and modify them with param_scope by their path. However, we may also need to access the same parameter in different places in our code, e.g., different layers in a DNN model.

In such situation, we can break our code into named scopes. And then, we can identify each access to the parameters and set a value for each access.

To add named scopes to our code, we can use param_scope:

class WideAndDeepModel(keras.Model):
    def __init__(self, 
        units=[30, 30, 30],
        activation="relu",
        ...):

        ...
        with param_scope["layer1"]():
            self.bn1 = wrapped_bn()
            self.dropout1 = dropout()
        with param_scope["layer2"]():
            self.bn2 = wrapped_bn()
            self.dropout2 = dropout()
        ...

with param_scope["wdmodel"]():
    model = WideAndDeepModel()

param_scope["layer1"] creates a named scope called layer1. Since the scope is created inside another named scope param_scope["wdmodel"], its full path should be wdmodel.layer1. We can specify different values of a parameter according to its path. For example:

with param_scope["wdmodel"](**{
    "myns.rec.rank.dropout.ratio@wdmodel.layer1": 0.6,
    "myns.rec.rank.dropout.ratio@wdmodel.layer2": 0.7,
}):
    model = WideAndDeepModel()

With the above code, we get a drop ratio of 0.6 for layer1 and 0.7 for layer2.